Competing density-wave orders in a one-dimensional hard-boson model
Competing density-wave orders in a one-dimensional hard-boson model
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DOI：
10.1103/physrevb.69.075106
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发表时间：
2004-02-01
影响因子：
3.7
通讯作者：
Sachdev, S
中科院分区：
文献类型：
--
作者：
Fendley, P;Sengupta, K;Sachdev, S
我们描述了零温度相图的玻色子模型，占据网站的线性链，它服从硬排斥约束：任何两个最近的邻居网站可能有最多一个玻色子。我们的模型的一个特殊情况下，最近提出了一个描述的“倾斜”莫特绝缘体的原子被困在一个光学晶格。我们的量子哈密顿量被证明产生的转移矩阵的巴克斯特的硬平方模型。借助于一些特殊情况的精确解和数值研究，我们得到了一个包含周期为2和3的长程密度波序态的相图，以及一个浮动的无公度相。各种量子相变的临界理论。作为一个副产品，我们展示了如何计算的Luttinger参数在可积理论与硬排斥约束。
We describe the zero-temperature phase diagram of a model of bosons, occupying sites of a linear chain, which obey a hard-exclusion constraint: any two nearest-neighbor sites may have at most one boson. A special case of our model was recently proposed as a description of a "tilted" Mott insulator of atoms trapped in an optical lattice. Our quantum Hamiltonian is shown to generate the transfer matrix of Baxter's hard-square model. Aided by exact solutions of a number of special cases, and by numerical studies, we obtain a phase diagram containing states with long-range density-wave order with periods 2 and 3, and also a floating incommensurate phase. Critical theories for the various quantum phase transitions are presented. As a byproduct, we show how to compute the Luttinger parameter in integrable theories with hard-exclusion constraints.